Finding the Third Proportional to 78,238 and 117,722

Step by Step Solution

1. Step 1: Write the proportion equation
   78,238 : 117,722 = 117,722 : x
2. Step 2: Convert to fraction form
   78,238/117,722 = 117,722/x
3. Step 3: Cross multiply
   78,238x = 117,722 × 117,722
4. Step 4: Simplify right side
   78,238x = 13,858,469,284
5. Step 5: Solve for x
   x = 13,858,469,284/78,238
6. Step 6: Final answer
   x = 177,132.20